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Finding the Third Proportional to 18,944 and 21,376

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Solution

The third proportional to 18,944 and 21,376 is: 24,120.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,944 : 21,376 = 21,376 : x
  2. Step 2: Convert to fraction form
    18,944/21,376 = 21,376/x
  3. Step 3: Cross multiply
    18,944x = 21,376 × 21,376
  4. Step 4: Simplify right side
    18,944x = 456,933,376
  5. Step 5: Solve for x
    x = 456,933,376/18,944
  6. Step 6: Final answer
    x = 24,120.22

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.